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Mathematical Problems in Engineering
Volume 2012, Article ID 515367, 16 pages
Research Article

Stationary Dynamic Displacement Solutions for a Rectangular Load Applied within a 3D Viscoelastic Isotropic Full Space—Part II: Implementation, Validation, and Numerical Results

Department of Computational Mechanics (DMC), School of Mechanical Engineering (FEM), University of Campinas (UNICAMP), Rua Mendeleyev 200, Cidade Universitária “Zeferino Vaz”, 13083-860 Campinas, SP, Brazil

Received 9 August 2011; Accepted 15 October 2011

Academic Editor: K. R. Rajagopal

Copyright © 2012 Josue Labaki et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In part I of the present article the formulation for a dynamic stationary semianalytical solution for a spatially constant load applied over a rectangular surface within a viscoelastic isotropic full-space has been presented. The solution is obtained within the frame of a double Fourier integral transform. These inverse integral transforms must be evaluated numerically. In the present paper, the technique to evaluate numerically the inverse double Fourier integrals is described. The procedure is validated, and a number of original displacement results for the stationary loading case are reported.